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Finding the Third Proportional to 356,815.13 and 521,827.31

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Solution

The third proportional to 356,815.13 and 521,827.31 is: 763,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,815.13 : 521,827.31 = 521,827.31 : x
  2. Step 2: Convert to fraction form
    356,815.13/521,827.31 = 521,827.31/x
  3. Step 3: Cross multiply
    356,815.13x = 521,827.31 × 521,827.31
  4. Step 4: Simplify right side
    356,815.13x = 272,303,744,070.97
  5. Step 5: Solve for x
    x = 272,303,744,070.97/356,815.13
  6. Step 6: Final answer
    x = 763,150.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.